Proficiency #14. [Arbitrary Unions and Intersections] For n e N, let An = [n – 2, n + 2). (a) Which of the following are true? Choose all that apply. 1. (A4 U A5) C U An- nƐN 2. (A4 N A5) C An. nEN 3. [2,6) € Ад. 4. [2,6) С Ад. 5. [2, 6) e U A. nEN 6. [2,7) CU An. nEN (b) Prove N A,, = 0. nEN
Proficiency #14. [Arbitrary Unions and Intersections] For n e N, let An = [n – 2, n + 2). (a) Which of the following are true? Choose all that apply. 1. (A4 U A5) C U An- nƐN 2. (A4 N A5) C An. nEN 3. [2,6) € Ад. 4. [2,6) С Ад. 5. [2, 6) e U A. nEN 6. [2,7) CU An. nEN (b) Prove N A,, = 0. nEN
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Proficiency #14. [Arbitrary Unions and Intersections]
For n e N, let An = [n – 2, n + 2).
(a) Which of the following are true? Choose all that apply.
1. (A4 U A5) C U An-
nƐN
2. (A4 N A5) C An.
nEN
3. [2,6) € Ад.
4. [2,6) С Ад.
5. [2, 6) e U A.
nEN
6. [2,7) CU An.
nEN
(b) Prove N A,, = 0.
nEN](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79fec644-cc9a-4e79-932f-9a07bdd10b3d%2F446083c7-853a-4f20-9d37-235fb250c9a4%2F9446b4p_processed.png&w=3840&q=75)
Transcribed Image Text:Proficiency #14. [Arbitrary Unions and Intersections]
For n e N, let An = [n – 2, n + 2).
(a) Which of the following are true? Choose all that apply.
1. (A4 U A5) C U An-
nƐN
2. (A4 N A5) C An.
nEN
3. [2,6) € Ад.
4. [2,6) С Ад.
5. [2, 6) e U A.
nEN
6. [2,7) CU An.
nEN
(b) Prove N A,, = 0.
nEN
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